A373069 Number of partitions of n such that (smallest part) >= 4*(number of parts).
1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 13, 13, 15, 16, 18, 19, 22, 23, 26, 28, 31, 33, 37, 39, 43, 46, 50, 53, 58, 61, 66, 70, 75, 79, 85, 89, 95, 100, 107, 112, 120, 126, 135, 142, 152, 160, 172, 181, 194, 205, 220, 232, 249, 263
Offset: 0
Keywords
Programs
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PARI
my(N=80, x='x+O('x^N)); Vec(sum(k=0, N, x^(4*k^2)/prod(j=1, k, 1-x^j)))
Formula
G.f.: Sum_{k>=0} x^(4*k^2)/Product_{j=1..k} (1-x^j).